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Finding the Fourth Proportional to 2,113.60, 3,168.78 and 816.16

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Solution

The fourth proportional to 2,113.60, 3,168.78 and 816.16 is: 1,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.60 : 3,168.78 = 816.16 : x
  2. Step 2: Convert to fraction form
    2,113.60/3,168.78 = 816.16/x
  3. Step 3: Cross multiply
    2,113.60x = 3,168.78 × 816.16
  4. Step 4: Simplify right side
    2,113.60x = 2,586,231.48
  5. Step 5: Solve for x
    x = 2,586,231.48/2,113.60
  6. Step 6: Final answer
    x = 1,223.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.